Quantum redactiones paginae "Aequationes Lagrangi" differant
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{{latinitas|-1}}
'''Aequationes Langrangi''' sunt aequationes
==Demonstratio==
Secundum leges Newtonianas,
Functionale ''S'' quam Lagrange exsistere ponit ''actio'' appellatum definitur
:::<math> S = \int{ L(x_1,x_2,...x_{\alpha}, \dot{x}_1,\dot{x}_2,...\dot{x}_{\alpha}, t)\, dt}</math>
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:::<math>\frac{d~}{dt} \ \left( \, \frac{\partial L}{\partial \dot{x}_\alpha} \, \right) \ - \ \frac{\partial L}{\partial x_\alpha} \ = \ 0</math>
Hae aequationes
:::<math>L(\vec{x}, \dot{\vec{x}}) \ = \ \frac{1}{2} \ m \ \dot{\vec{x}}^2 \ - \ V(\vec{x})</math>.
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==Causa==
===Systema penduli lateri mobili affixi===
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